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25 April 2024 |
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Article overview
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A Measurement Protocol for the Topological Uhlmann Phase | O. Viyuela
; A. Rivas
; S. Gasparinetti
; A. Wallraff
; S. Filipp
; M.A. Martin-Delgado
; | Date: |
29 Jul 2016 | Abstract: | Topological insulators and superconductors at finite temperature can be
characterised by the topological Uhlmann phase. However, the direct
experimental measurement in condensed matter systems has remained elusive. We
explicitly demonstrate that the topological Uhlmann phase can be measured with
the help of ancilla states in systems of entangled qubits that simulate a
topological insulator. We propose a novel state-independent measurement
protocol which does not involve prior knowledge of the system state. With this
construction, otherwise unobservable phases carrying topological information
about the system become accessible. This enables the measurement of a complete
phase diagram including environmental effects. We explicitly consider a
realization of our scheme using a circuit of superconducting qubits. This
measurement scheme is extendible to interacting particles and topological
models with a large number of bands. | Source: | arXiv, 1607.8778 | Services: | Forum | Review | PDF | Favorites |
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